Year: 1997
Journal of Computational Mathematics, Vol. 15 (1997), Iss. 3 : pp. 203–218
Abstract
In this paper, a mean-field equation of motion which is derived by Penrose (1991) for the dynamic Ising model with Glauber dynamics is considered. Various finite difference schemes such as explicit Euler scheme, predictor-corrector scheme and some implicit schemes are given and their convergence, stabilities and dynamical properties are discussed. Moreover, a Lyapunov functional for the discrete semigroup $\{ S\}_{n>0}$ is constructed. Finally, numerical examples are computed and analyzed. it shows that the model is a better approximation to Cahn-Allen equation which is mentioned in Penrose (1991).
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1997-JCM-9200
Journal of Computational Mathematics, Vol. 15 (1997), Iss. 3 : pp. 203–218
Published online: 1997-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16